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Finite Additivity


A set function mu is finitely additive if, given any finite disjoint collection of sets {E_k}_(k=1)^n on which mu is defined,

 mu( union _(k=1)^nE_k)=sum_(k=1)^nmu(E_k).

See also

Countable Additivity, Countable Subadditivity, Disjoint Union, Finite Subadditivity, Set Function

This entry contributed by Christopher Stover

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References

Royden, H. L. and Fitzpatrick, P. M. Real Analysis. Pearson, 2010.

Cite this as:

Stover, Christopher. "Finite Additivity." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/FiniteAdditivity.html

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